The equation provided in the image is:

$y = -x - 5$

This is a linear equation in slope-intercept form, $y = mx + b$, where:

• $m = -1$ is the slope of the line.
• $b = -5$ is the y-intercept, the point where the line crosses the y-axis.

To graph this line:

1. Start at the y-intercept: The line crosses the y-axis at $(0, -5)$.
2. Use the slope: The slope is $-1$, which means for every unit you move to the right along the x-axis, move down by 1 unit on the y-axis. This gives the direction of the line.
3. Plot another point: From $(0, -5)$, move right by 1 and down by 1 to find another point $(1, -6)$.
4. Draw the line: Once you have two points, you can draw a straight line through them, extending in both directions.

Would you like a detailed graph or any further explanations?

Related questions:

1. What is the slope of the line, and how does it affect the direction of the line?
2. How do you determine the y-intercept from a linear equation?
3. Can we express this equation in another form, such as point-slope form?
4. What happens if we change the slope to a positive value?
5. How would the graph change if the constant $-5$ was replaced with a different number?

Tip: To graph any linear equation quickly, always identify the slope and y-intercept first. These give you the key points to plot the line.